A simply connected surface of general type with p_g=0 and K^2=2

Abstract

In this paper we construct a simply connected, minimal, complex surface of general type with p_g=0 and K^2=2 using a rational blow-down surgery and Q-Gorenstein smoothing theory.

19 pages, 6 figures. To appear in Inventiones Mathematicae

References in corpus (1)

• On Park's exotic smooth four-manifolds

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• Extending hyperelliptic K3 surfaces, and Godeaux surfaces with torsion Z/2
• The Yamabe invariant of a class of symplectic manifolds
• The Calabi conjecture and K-stability
• On subfields of the function field of a general surface in ${\mathbb{P}}^3$
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• Symplectic generic complex structures on 4-manifolds with b_+ = 1